Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a mean structure CFA
for continuous factor indicators
montecarlo:
names = y1a y1b y1c y2a y2b y2c;
nobs = 500;
nreps = 1;
save = ex5.9.dat;
model population:
f1 by y1a-y1c@1;
f2 by y2a-y2c@1;
[y1a*2 y1b*2 y1c*2] (1);
[y2a*3 y2b*3 y2c*3] (2);
y1a-y2c*.5;
f1-f2*1; f1 with f2*.5;
model:
f1 by y1a-y1c@1;
f2 by y2a-y2c@1;
[y1a*2 y1b*2 y1c*2] (1);
[y2a*3 y2b*3 y2c*3] (2);
y1a-y2c*.5;
f1-f2*1; f1 with f2*.5;
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a mean structure CFA
for continuous factor indicators
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y1A Y1B Y1C Y2A Y2B Y2C
Continuous latent variables
F1 F2
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
1.981 2.015 2.022 2.985 2.986
Means
Y2C
________
3.033
Covariances
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
Y1A 1.478
Y1B 1.009 1.477
Y1C 0.950 1.011 1.458
Y2A 0.490 0.458 0.473 1.513
Y2B 0.459 0.444 0.434 0.978 1.499
Y2C 0.507 0.474 0.520 0.929 1.020
Covariances
Y2C
________
Y2C 1.516
Correlations
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
Y1A 1.000
Y1B 0.683 1.000
Y1C 0.647 0.689 1.000
Y2A 0.328 0.306 0.319 1.000
Y2B 0.308 0.298 0.294 0.649 1.000
Y2C 0.339 0.317 0.350 0.613 0.677
Correlations
Y2C
________
Y2C 1.000
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value
Mean -4150.048
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4150.048 -4150.048
0.980 0.000 -4150.048 -4150.048
0.950 0.000 -4150.048 -4150.048
0.900 0.000 -4150.048 -4150.048
0.800 0.000 -4150.048 -4150.048
0.700 0.000 -4150.048 -4150.048
0.500 0.000 -4150.048 -4150.048
0.300 0.000 -4150.048 -4150.048
0.200 0.000 -4150.048 -4150.048
0.100 0.000 -4150.048 -4150.048
0.050 0.000 -4150.048 -4150.048
0.020 0.000 -4150.048 -4150.048
0.010 0.000 -4150.048 -4150.048
H1 Value
Mean -4143.626
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4143.626 -4143.626
0.980 0.000 -4143.626 -4143.626
0.950 0.000 -4143.626 -4143.626
0.900 0.000 -4143.626 -4143.626
0.800 0.000 -4143.626 -4143.626
0.700 0.000 -4143.626 -4143.626
0.500 0.000 -4143.626 -4143.626
0.300 0.000 -4143.626 -4143.626
0.200 0.000 -4143.626 -4143.626
0.100 0.000 -4143.626 -4143.626
0.050 0.000 -4143.626 -4143.626
0.020 0.000 -4143.626 -4143.626
0.010 0.000 -4143.626 -4143.626
Information Criteria
Akaike (AIC)
Mean 8322.096
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8322.096 8322.096
0.980 0.000 8322.096 8322.096
0.950 0.000 8322.096 8322.096
0.900 0.000 8322.096 8322.096
0.800 0.000 8322.096 8322.096
0.700 0.000 8322.096 8322.096
0.500 0.000 8322.096 8322.096
0.300 0.000 8322.096 8322.096
0.200 0.000 8322.096 8322.096
0.100 0.000 8322.096 8322.096
0.050 0.000 8322.096 8322.096
0.020 0.000 8322.096 8322.096
0.010 0.000 8322.096 8322.096
Bayesian (BIC)
Mean 8368.456
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8368.456 8368.456
0.980 0.000 8368.456 8368.456
0.950 0.000 8368.456 8368.456
0.900 0.000 8368.456 8368.456
0.800 0.000 8368.456 8368.456
0.700 0.000 8368.456 8368.456
0.500 0.000 8368.456 8368.456
0.300 0.000 8368.456 8368.456
0.200 0.000 8368.456 8368.456
0.100 0.000 8368.456 8368.456
0.050 0.000 8368.456 8368.456
0.020 0.000 8368.456 8368.456
0.010 0.000 8368.456 8368.456
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 8333.542
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8333.542 8333.542
0.980 0.000 8333.542 8333.542
0.950 0.000 8333.542 8333.542
0.900 0.000 8333.542 8333.542
0.800 0.000 8333.542 8333.542
0.700 0.000 8333.542 8333.542
0.500 0.000 8333.542 8333.542
0.300 0.000 8333.542 8333.542
0.200 0.000 8333.542 8333.542
0.100 0.000 8333.542 8333.542
0.050 0.000 8333.542 8333.542
0.020 0.000 8333.542 8333.542
0.010 0.000 8333.542 8333.542
Chi-Square Test of Model Fit
Degrees of freedom 16
Mean 12.844
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 5.812 12.844
0.980 1.000 6.614 12.844
0.950 1.000 7.962 12.844
0.900 1.000 9.312 12.844
0.800 1.000 11.152 12.844
0.700 1.000 12.624 12.844
0.500 0.000 15.338 12.844
0.300 0.000 18.418 12.844
0.200 0.000 20.465 12.844
0.100 0.000 23.542 12.844
0.050 0.000 26.296 12.844
0.020 0.000 29.633 12.844
0.010 0.000 32.000 12.844
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 1.000
0.010 1.000
CFI/TLI
CFI
Mean 1.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
TLI
Mean 1.000
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.022
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 0.000
0.010 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
F1 BY
Y1A 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y1B 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y1C 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
F2 BY
Y2A 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2B 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2C 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
F1 WITH
F2 0.500 0.4716 0.0000 0.0558 0.0008 1.000 1.000
Intercepts
Y1A 2.000 2.0066 0.0000 0.0480 0.0000 1.000 1.000
Y1B 2.000 2.0066 0.0000 0.0480 0.0000 1.000 1.000
Y1C 2.000 2.0066 0.0000 0.0480 0.0000 1.000 1.000
Y2A 3.000 3.0012 0.0000 0.0481 0.0000 1.000 1.000
Y2B 3.000 3.0012 0.0000 0.0481 0.0000 1.000 1.000
Y2C 3.000 3.0012 0.0000 0.0481 0.0000 1.000 1.000
Variances
F1 1.000 0.9926 0.0000 0.0733 0.0001 1.000 1.000
F2 1.000 0.9803 0.0000 0.0737 0.0004 1.000 1.000
Residual Variances
Y1A 0.500 0.5117 0.0000 0.0447 0.0001 1.000 1.000
Y1B 0.500 0.4419 0.0000 0.0409 0.0034 1.000 1.000
Y1C 0.500 0.4887 0.0000 0.0434 0.0001 1.000 1.000
Y2A 0.500 0.5899 0.0000 0.0504 0.0081 1.000 1.000
Y2B 0.500 0.4780 0.0000 0.0443 0.0005 1.000 1.000
Y2C 0.500 0.5309 0.0000 0.0471 0.0010 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.940E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
1 1 1 2 2
NU
Y2C
________
2
LAMBDA
F1 F2
________ ________
Y1A 0 0
Y1B 0 0
Y1C 0 0
Y2A 0 0
Y2B 0 0
Y2C 0 0
THETA
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
Y1A 3
Y1B 0 4
Y1C 0 0 5
Y2A 0 0 0 6
Y2B 0 0 0 0 7
Y2C 0 0 0 0 0
THETA
Y2C
________
Y2C 8
ALPHA
F1 F2
________ ________
0 0
BETA
F1 F2
________ ________
F1 0 0
F2 0 0
PSI
F1 F2
________ ________
F1 9
F2 10 11
STARTING VALUES
NU
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
2.000 2.000 2.000 3.000 3.000
NU
Y2C
________
3.000
LAMBDA
F1 F2
________ ________
Y1A 1.000 0.000
Y1B 1.000 0.000
Y1C 1.000 0.000
Y2A 0.000 1.000
Y2B 0.000 1.000
Y2C 0.000 1.000
THETA
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
Y1A 0.500
Y1B 0.000 0.500
Y1C 0.000 0.000 0.500
Y2A 0.000 0.000 0.000 0.500
Y2B 0.000 0.000 0.000 0.000 0.500
Y2C 0.000 0.000 0.000 0.000 0.000
THETA
Y2C
________
Y2C 0.500
ALPHA
F1 F2
________ ________
0.000 0.000
BETA
F1 F2
________ ________
F1 0.000 0.000
F2 0.000 0.000
PSI
F1 F2
________ ________
F1 1.000
F2 0.500 1.000
POPULATION VALUES
NU
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
2.000 2.000 2.000 3.000 3.000
NU
Y2C
________
3.000
LAMBDA
F1 F2
________ ________
Y1A 1.000 0.000
Y1B 1.000 0.000
Y1C 1.000 0.000
Y2A 0.000 1.000
Y2B 0.000 1.000
Y2C 0.000 1.000
THETA
Y1A Y1B Y1C Y2A Y2B
________ ________ ________ ________ ________
Y1A 0.500
Y1B 0.000 0.500
Y1C 0.000 0.000 0.500
Y2A 0.000 0.000 0.000 0.500
Y2B 0.000 0.000 0.000 0.000 0.500
Y2C 0.000 0.000 0.000 0.000 0.000
THETA
Y2C
________
Y2C 0.500
ALPHA
F1 F2
________ ________
0.000 0.000
BETA
F1 F2
________ ________
F1 0.000 0.000
F2 0.000 0.000
PSI
F1 F2
________ ________
F1 1.000
F2 0.500 1.000
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y1A
Y1B
Y1C
Y2A
Y2B
Y2C
Save file
ex5.9.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:24:13
Ending Time: 22:24:13
Elapsed Time: 00:00:00
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